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Finding the Fourth Proportional to 10,588.34, 14,611.97 and 5,872.70

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Solution

The fourth proportional to 10,588.34, 14,611.97 and 5,872.70 is: 8,104.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.34 : 14,611.97 = 5,872.70 : x
  2. Step 2: Convert to fraction form
    10,588.34/14,611.97 = 5,872.70/x
  3. Step 3: Cross multiply
    10,588.34x = 14,611.97 × 5,872.70
  4. Step 4: Simplify right side
    10,588.34x = 85,811,657.84
  5. Step 5: Solve for x
    x = 85,811,657.84/10,588.34
  6. Step 6: Final answer
    x = 8,104.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.